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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 3, Pages 489–499
DOI: https://doi.org/10.4213/tmf1793 (Mi tmf1793) 		 
Representations of groups in solution spaces of invariant differential equations

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
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DOI: https://doi.org/10.4213/tmf1793
Abstract: We present different versions of the definition of invariant differential equations and introduce the notion of a spectrum for these equations. We give examples of an explicit description of the spectrum and introduce sufficient conditions for discreteness of the spectrum. As an example, we consider the representations of the Heisenberg group in solution spaces of invariant differential equations.
Keywords: invariant differential equations, spectrum, Heisenberg group, solution space.
Received: 24.02.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 3, Pages 412–421
DOI: https://doi.org/10.1007/s11232-005-0032-y
Bibliographic databases:
Language: Russian
Citation: R. S. Ismagilov, “Representations of groups in solution spaces of invariant differential equations”, TMF, 142:3 (2005), 489–499; Theoret. and Math. Phys., 142:3 (2005), 412–421
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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